Brooke has $50 in a savings account that earns 5% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years?

First, you need to solve the inequalities.

[tex]4q\geq -16[/tex]

[tex]q\geq -4[/tex]

[tex]q+3<7[/tex]

[tex]q<4[/tex]

Now let's write the interval notation for the first one.

The lowest number for this would be -4. q cannot be less than negative -4. Since q can be -4 OR greater than, you use brackets. [-4,

q can be anything greater than -4. So the second number is infinity. Infinity uses parentheses because it is no exact number.

So the interval notation for the first inequality is [-4, ∞).

Now let's write the interval notation for the second one.

q can be anything less than 4. So the first number would be negative infinity: (-∞

q cannot pass 4, so the second number would be 4. Since q does not include 4, you use parentheses: 4)

The interval notation for the second inequality is (-∞, 4).

The interval notation for this compound inequality is [-4, ∞) or (-∞, 4).

Sorry if this was long and confusing. Hope this helped!

Step-by-step explanation:

Ok so i looked on an app i hope helps(Im not really sure if this is correct)I hope you get it soon!

Answer:

11 over 20

Step-by-step explanation:

Answer: 5/20

Step-by-step explanation:

9/20+6/20=15/20

20/20-15/20=5/20

Answer:

Is there any answer choices?

Step-by-step explanation:

Answer:

answer choices??

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

the answer is a:41

this is because 5 times 4 is 20 and 7 times 3 is 21

so 20+21 is 41

Answer:

In her answer she has an equality, x=2. Emphasis on equal. However, in the original inequality it's not a equal sign. x=2 is true, just not the complete the answer.

Answer should be x is greater than or equal to 2.

Hopefully that makes sense.

Answer: 4.5%

Step-by-step explanation:

From the question, we are informed that Diego measured the length of a pen to be 22 cm while the actual length of the pen is 23 cm.

The percentage decrease in his measurement will be:

= (23 - 22)/22 × 100

= 1/22 × 100

= 4.5%

Answer:

4.3%

Step-by-step explanation:

Answer:

m=3/4

Step-by-step explanation:

Get the points from the graph:

(4,2) and (-4,-4)

Slope formula is m= (y_2-y_1)/(x_2-x_1)

m=(-4-2)/(-4-4)

m=-6/-8

Simplify: 3/4

=========================================================

Explanation:

We're told that 4/9 kg of baking soda costs $2

We can form the equation

4/9 kg = 2 dollars

We want to know the cost of 1 kg of baking soda, so we'll need to divide both sides by 4/9 to turn the "4/9 kg" into "1 kg"

Therefore,

4/9 kg = 2 dollars

turns into

1 kg = (2 ÷ 4/9) dollars

We could simplify further, but your teacher has decided not to.

Answer:

15cm

Step-by-step explanation:

37 + 18 + x + x = 85

2x = 85 - 37 - 18

x = 15cm

This is a question on polygons. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

15

Step-by-step explanation:

I get brainliest please

Answer:

The 30th sticker will have a sticker. The sticker will be 1 sticker (Kite Sticker) which will be put on the locker by Lin. This is because, following the arithematic progression of the sticker placement:

Locker 5 = Kite sticker

locker 10 = Kite sticker

Locker 15 = Kite sticker

.

.

Locker 30 = Kite sticker

It could be seen that at locker 30, the sticker to be placed by Lin will be Kite sticker

Step-by-step explanation:

Answer:

She is able to paint 2/5's of the room in 1/2 hour. How long does it take to paint the whole room? = 7.5 minutes. Hence, it will take 5*7.5 = 37.5 minutes to paint the entire room.

Answer:

1 1/4 Hours

Step-by-step explanation:

2/5+2/5=4/5

4/5=1 hour

1/2/1/2=1/4

1/5 room in 1/4 hour

1+1/4=1 1/4 hours

Answer:

v = - [tex]\frac{39}{20}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] - [tex]\frac{2}{3}[/tex] v = [tex]\frac{4}{5}[/tex]

Multiply through by 30 ( the LCM of 2, 3 and 5 )

- 15 - 20v = 24 ( add 15 to both sides )

- 20v = 39 ( divide both sides by - 20 )

v = - [tex]\frac{39}{20}[/tex]

Answer:

[tex]v=-\frac{39}{20}[/tex]

Step-by-step explanation:

Given the expression

[tex]-\frac{1}{2}-\frac{2}{3}v=\frac{4}{5}[/tex]

Add 1/2 to both sides

[tex]-\frac{1}{2}-\frac{2}{3}v+\frac{1}{2}=\frac{4}{5}+\frac{1}{2}[/tex]

[tex]-\frac{2}{3}v=\frac{13}{10}[/tex]

Multiply both sides by 3

[tex]3\left(-\frac{2}{3}v\right)=\frac{13\cdot \:3}{10}[/tex]

[tex]-2v=\frac{39}{10}[/tex]

Divide both sides by -2

[tex]\frac{-2v}{-2}=\frac{\frac{39}{10}}{-2}[/tex]

[tex]v=-\frac{39}{20}[/tex]

Therefore,

[tex]v=-\frac{39}{20}[/tex]

Answer:

a) 8 subsets

b) 32 subsets

Step-by-step explanation:

The total number of subset of a set is known as the power of the set

Power of a set is expressed as;

P = 2^n

n is the number of element in the set

a) For a set containing 3 elements

n = 3

Power of the set = 2³

Power of the set is 8

This means that the set contains 8 different subsets

b) Cardinality of a set is the total number of element in the set

If the cardinal number of a set is 5, this means that the set contains 5elements

Hence the power of the set will be;

P = 2^5

P = 32

Hence the total number of subset for set whose cardinal number is 5 is 32

Answer:

2/3

4

3.

An airplane is flying from New York City to Los Angeles. The distance it travels in

miles, d, is related to the time in seconds, t, by the equation d = 0.15t.

d= 0.15

1

0.157

t

(seconds)

1

30

d

(miles)

0.15

0.15 x 1

0.15 x 30

12.75

a.

How fast is it flying? Be sure to include the units.

b.

How far will it travel in 30 seconds?

C.

How long will it take to go 12.75 miles?

4.

Crater Lake in Oregon is shaped like a circle with a diamet

Step-by-step explanation:

Answer:

IT IS BOTH

Step-by-step explanation:

Given the coordinate of the triangle, P1P2P3, we are to classify the triangle. To do that we need to know the length of each side of the triangle

P1P2, P2P3 and P1P2 using the formula for calculating distance between two coordinates

D = √(x2-x1)²+(y2-y1)²

For P1P2;

P1=(−1,4) P2=(6,2)

P1P2 = √(6-(-1))²+(2-4)²

P1P2 = √7²+2²

P1P2 = √53

For P1P3;

P1=(−1,4) P3=(4,-5)

P1P3 = √(4-(-1))²+(-5-4)²

P1P3 = √5²+9²

P1P3 = √25+81

P1P3 = √106

For P2P3;

P2=(6,2) P3 = (4,-5)

P2P3= √(4-6)²+(-5-2)²

P2P3 = √2²+7²

P2P3 = √53

Since two sides of the triangles are the same, this means that it is an isosceles triangle.

Let's check whether it is right angled by applying Pythagoras theorem

(√53)²+(√53)² = x²

x is the longest side (hypotenuse)

53+53 = x²

106 = x²

x = √106

Since the square of the hypotenuse is equal to the sum of the sum of the square of other two sides, then it is also a RIGHT ANGLED TRIANGLE

Answer: Okay so let's try to find the amount of money needed to buy 1 lb. Therefore, let's divide the fraction by 14.

Then we'll divide both the numerator and denominator by 14.

÷

Then we simplify and get:

14÷14=1     2.99÷14=.2135   We can round that to .21

The unit rate for each pound would be 1:.21

I don't know if that helped, but yeah. :)

Step-by-step explanation:

Answer:

y=-4x-5

Step-by-step explanation:

Subtract 8x from both sides to get the y variable alone. Then divide both sides by 2 and get y=-4x-5.

Answer:

y=−4x−5 because the guy on top of me said so

Step-by-step explanation:

Answer:

10 and 6

Step-by-step explanation:

2 can go into both 6 and 10 and 6 and 10 are multiples of 60

Answer:

34 and 12

Step-by-step explanation:

so two numbers are x and x-22

then x+x-22=46

2x=68

x=34

x-22 = 12

The numbers are 34 and 12, which gives sum 46 and difference 22.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Let the two numbers are a and b.

According to given conditions,

The sum of a and b is 46,

And the difference of a and b is 22.

Implies that,

a + b = 46      (1)

a - b = 22      (2)

Add equation (1) and (2),

2a = 68

a = 34

Substitute the value of a in equation 1 to get the value of b,

34 + b = 46

b = 46 - 34

b = 12

The required numbers are 34 and 12.

To know more about Algebra on:

https://brainly.com/question/24875240

#SPJ2

Answer:

=3x^5−53x^3−20x^2−10x−40

Step-By-Step explanation:

=(3x^4+−12x^3+−5x^2+−18+8)(x+4)

=(3x^4)(x)+(3x^4)(4)+(−12x^3)(x)+(−12x^3)(4)+(−5x^2)(x)+(−5x^2)(4)+(−18)(x)+(−18)(4)+(8)(x)+(8)(4)

=3x^5+12x^4−12x^4−48x^3−5x^3−20x^2−18x−72+8x+32

=3x^5−53x^3−20x^2−10x−40

Answer: 5(x-1)

Step-by-step explanation:

5*x = 5x

5*-1 = -5

therefore the answer is 5(x-1)

5x-5 distributed is 5(x-1).

The common factor of 5x and 5 is 5.

5x divided by 5 is 1x or x.

5 divided by 5 is 1.

So the answer is 5(x-1).

Answer:

The equation in point-slope form is [tex]y-6=2(x-4)[/tex].

Step-by-step explanation:

We are given the slope and a coordinate pair of a line.

Therefore, we can now label our coordinate pair and substitute our values into the formula. Our formula is:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

We can label our coordinate pairs with the [tex](x_1, y_1)[/tex] labeling method.

Therefore, since our two coordinates are:

We can label 4 as x₁ and 6 as y₁.

Then, we are able to determine m, or our slope.

Now, let's set up our equation.

[tex]\displaystyle y - y_1 = m(x - x_1)\\\\y - 6 = 2(x - 4)\\\\y - 6 = 2x - 8\\\\y = 2x - 2[/tex]

Therefore, our line is y = 2x - 2. However, the problem asks for it in point-slope form. So, this is exactly what we have in Step 2: y - 6 = 2(x - 4).

Answer:

x = 32

Step-by-step explanation:

Given the following data;

Unknown number = x

Translating the word problem into an algebraic equation, we have;

[tex] \frac {x}{2} - 10 = 6[/tex]

Lowest common denominator (LCD) = 2

We multiply all through by 2;

[tex] 2* \frac {x}{2} - 2*10 = 2*6[/tex]

[tex] x - 20 = 12[/tex]

[tex] x = 12 + 20[/tex]

x = 32

Therefore, the unknown number is 32.

Answer:

The answer is C my good sir

Step-by-step explanation:

Answer and explanation:

The expression P-2P+3P-4P cannot have the same values for different values of P. Let us illustrate this by substituting different values of P in the expression:

If P= 2

Substitute P=2 in the expression

2-2×2+3×2-4×2

=2-4+6-8

=-4

If P= 3

Substitute P=3 in the expression

3-2×3+3×3-4×3

=3-6+9-12

=-6

If P = 1

Substitute P=1 in the expression

1-2×1+3×1-4×1

= 1-2+3-4

= -2

If P = -2

Substitute P=1 in the expression

-2-2×-2+3×-2-4×-2

= -2+4-6+8

=4

Therefore we can see from the above that the expression has different values for different values of P

Answer: about 78 hours if you round up the answer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will start with $249 and then add the inequality for h. Note that the number can be larger than 699, but not lower.

9514 1404 393

Answer:

  A)  5x+12 = -12x-12

  D)  5x+12 = -5x-12

Step-by-step explanation:

If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.

A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution

B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions

C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions

D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution